31145421025110 has 256 divisors, whose sum is σ = 88721928142848. Its totient is φ = 6847263590400.

The previous prime is 31145421025049. The next prime is 31145421025111. The reversal of 31145421025110 is 1152012454113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145421025111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2324798932 + ... + 2324812328.

It is an arithmetic number, because the mean of its divisors is an integer number (346570031808).

Almost surely, 2^{31145421025110} is an apocalyptic number.

31145421025110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31145421025110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44360964071424).

31145421025110 is an abundant number, since it is smaller than the sum of its proper divisors (57576507117738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31145421025110 is a wasteful number, since it uses less digits than its factorization.

31145421025110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15599.

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 31145421025110 its reverse (1152012454113), we get a palindrome (32297433479223).

The spelling of 31145421025110 in words is "thirty-one trillion, one hundred forty-five billion, four hundred twenty-one million, twenty-five thousand, one hundred ten".